Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions
Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions
In a previous paper, we introduced the Collatz polynomials PN(z), whose coefficients are the terms of the Collatz sequence of the positive integer N. Our work in this paper expands on our previous results, using the Eneström-Kakeya Theorem to tighten our old bounds of the roots of PN(z) and giving …